a computer program is in Shannon's computer carries out a single mathematical operation in 1.5 * 10 over 6 seconds how much time would the program take to complete 2.5 * 10/3 mathematical operations

the coefficients are the numbers that accompany a variable on this case we have 2 variables y and n so the numbers that accompany each one are 1 for y and 6 for n

so there area 2 coefficients 1 and 6

the constant are the numbers without a variable on this case only the 2

The Distributive Property holds as both sides of the given equality are equal.

The distributive property means that the outer time of the expression multiplies each of the inner terms of the expression. Then, these terms may be combined, if they contain like-terms.

The left-hand side of the expression is given as follows:

2/5(4/3 - 1/3).

Applying the distributive property, it is found that:

Subtracting them, it is found that:

2/5(4/3 - 1/3) = 8/15 - 2/15 = 6/15 = 2/5. (as both 6 and 15 are divided by 3).

The right-hand side of the expression is:

2/5 x 4/3 - 2/5 x 1/3

Multiplication takes precedence over subtraction, hence:

2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15

Same denominator, hence the numerators can be subtracted as follows:

8/15 - 2/15 = 6/15 = 2/5. (as both 6 and 15 are divided by 3).

Both sides of the expression have the same value, hence the distributive property holds for this problem.

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Given:

The radius , r=20 ft.

The height , h=23 ft.

The volume of the cylinder can be calculated as,

Therefore, the volume of the cylinder is 28902.65 sq.ft.

The volume of the cone can be calculated as,

Therefore, the volume of the cone is 9634.22 sq.ft.

Given:

Distance of her beagle = 25/4 meters to the right

Distance of her labrador = 51/20 meters directly to her left.

Let's determine the expression which represents how far apart the two dogs are.

We have the following:

Since the beagle is to the right, the distance is = 25/4 meters

Since the labrador is to the left, the distance is = -51/20 meters.

Now, to find how far apart the two dogs are, let's use the absolute value expression:

Therefore, the expression which represents how far the two dogs are is:

ANSWER:

The slopes of two parallel lines are the same, while the slopes of two perpendicular lines are the opposite reciprocals of each other. Each line has infinitely many lines that are parallel to it and infinitely many lines that are perpendicular to it.

P.S hopes this helps

A trinomial has three terms. The first term contains the squared variable, the second term contains the variable with an exponent of 1, and the third term does not have any variable. That term is called the independent term.

In the polynomial:

The term -20 is the independent term because it does not depend on the value of the variable x.

We remember that two interior angles are those inside the are of the lines, Thus, the angles in the area:

Are interior. Now, we identify two sides, the right side, and the left side, which have been separated by the transversal line.

Thus, the angle that is is the same side as ∡3, and also that is interior is ∡5.

Given:

To find the simplified complex number

Answer:

Step-by-step explanation:

The circumference of circle with diameter 6 feet will be 6π feet.

According to the question,

We have the following information:

Diameter of the circle = 6 feet

Now, we will find the radius of the circle. We know that the radius of the circle is half that of its diameter.

Radius of the circle = Diameter/2

Radius of the circle = 6/2 feet

Radius of the circle = 3 feet

We know that the following formula is used to find the circumference of the circle:

Circumference of the circle = 2πr

Circumference of the circle = 2π*3

Circumference of the circle = 6π feet

Hence, the circumference of the circle is 6π feet.

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Answer:

Histogram Tells you how many pumpkins had mass below 6 kg

The box plot can be used to determine that the median was 8

Explanation:

A histogram is a chart the plots frequency of a certain quantity.

In our case, the histogram given tell us how many pumpkins fall within a certain mass range. Therefore, to find out how many pumpkins are below 6 kg, we use a histogram.

On the other hand, the box plot summarizes the numerical data. In our case, it can be used to find the median weight of the pumpkins by just reading off the position of the median line.

Given -

The odds against winning a prize in the raffle = 9:1

To Find -

Probability of winning prize =?

Step-by-Step Explanation -

Total possible outcome = 9 + 1 = 10

Favourable outcome = 9

So,

Probability = Total outcome / Favourable outcome

Probability = 9/10 = 0.9

Final Answer -

Probability of winning prize = 0.9

A linear equation is written in the form

it is the Slope-intercept form

ANSWER

The cofunction of tan 36 degrees is cot 54 degrees

STEP-BY-STEP EXPLANATION

Given information

Co function of tan can be written below as

Therefore,

tan 36 = 0.7265

cot 54 = 0.7265

Hence, the cofunction of tan 36 is cot 54

Solution

Step 1

Write the two functions:

Step 2

(f- g)(x) = f(g) - g(x)

Final answer

D. x² +3

Answer:

4x - 8, 4x just means four of x, and eight less means to subtract 8.

Step-by-step explanation:

Answer:

The answer is 4x - 8 and it equals -32

316.21 is the savings plan balance after 6 months with an APR of 8% and monthly payments of $300.

percentage, a relative value indicating hundredth parts of any quantity.

We need to find the savings plan balance after 8 months with an APR of 8% and monthly payments of $300.00.

Let 8% is changed to decimal value by dividing with hundred.

8/100=0.08.

Now we are required to find the growth factor.

growth factor = (1 + (0.08  / 12))   per month   = 1.00667

After 9 months, the balance is

($300.00)*(1.00667)8

316.21 is the balance after 6 months.

Hence 316.21 is the savings plan balance after 6 months with an APR of 8% and monthly payments of $300.

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The given points are (5, 1) and (-3, 17).

First, we have to find the slope using the following formula.

Where,

Let's use the coordinates above to find the slope.

The slope is -2.

Now, we use the point-slope formula to find the equation.

Let's use the same coordinates x_1 and y_1, and the slope m = -2.

Now, we solve for y to express the equation in slope-intercept form.

Given:

A company purchased slacks for $18.66 per pair.

Mark up= $22.93

We have a right triangle XYZ.

The length of the hypotenuse is YZ=85.

We also know that the tangent of Z is 4.

We have to find the length of XY.

We can start by drawing the triangle and writing the data:

The tangent of an angle can be related with the sides by the following trigonometric ratio:

We can not find the value of the legs from the trigonometric ratio, but we have a proportion between them. We can write the previous result as:

Now we can relate XY with the hypotenuse YZ using the Pythagorean theorem:

Answer: the length of the leg XY is 51 inches.

The North zone at the football stadium has 95 rows.

There are 48 seats in a row.

How many people will the North end zone seat​?

Since there are 95 rows and each row has 48 seats, multiply them to get the total number of seats.

Therefore, there are 4560 people sitting in the North zone.

Part 1

The labelled disgram is shown below.

We would apply the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

Considering triangle ABE

Sin 60 = 10/BE

BE = 10/Sin60 = 11.55

tan60 =10/AE

AE = 10/tan60 = 5.77

Part 1

Side DC of triangle BDC = 10 feet(opposite sides of a rectangle are congruent)

angle DBC = 30 degrees because BE and BD trisect angle ABC. 90/3 = 30

The sum of the angles in a triangle is 180 degrees. Thus,

angle DBC + angle DCB + angle BDC = 180

30 + 90 + angle BDC = 180

angle BDC = 180 = 180 - (30 + 90 = 180 - 120

angle BDC = 60

Sin 30 = CD/BD = 10/BD

BD = 10/Sin30

BD = 20

tan 30 = DC/BC = 10/BC

BC = 10/tan30

BC = 17.32

Perimeter of deck area to the right of the beam of light = perimeter of triangle BDC

= BD + DC + BC

= 20 + 10 + 17.32

Perimeter = 47.32 feet

SOLUTION:

Step 1:

In question 12, we are meant to find the line of reflection for Triangle ABC and its image based on the diagram:

Step 2:

The line of reflection for Triangle ABC and its image is:

Given:

There are given that the spinner with 5 equal parts numbered 1 to 5.

Explanation:

In the given spinner, there are given the number: 1, 2, 3, 4, 5.

Now,

From all the given numbers, there are 3 odd numbers: 1, 3, and 5.

So,

From the probability:

Then,

Now,

For the percentage:

Final answer:

Hence, the correct option is C.

Solution

- The cost of the crops are $(a) for tomatoes, $(b) for eggplants, and $(c) for potatoes.

- We simply need to follow the statements about the farmer's pricing in order to determine the correct set of equations.

Statement 1:

- "1 tomato, 1 eggplant, 2 potatoes for $10"

- If there is 1 tomato, it implies that, this tomato is priced at $(a). Similarly, 1 eggplant would be priced at $(b), but 2 potatoes would be $(c) + $(c) = $2(c).

- We are told that the total cost for this package is $10.

- Thus, the first equation must be:

- We can interprete the other packages in a similar manner.

Statement 2:

"2 tomatoes, 1 eggplant, 3 potatoes for $14"

- This implies that the farmer would price the packages as follows:

2 tomatoes: 2(a)

1 eggplant: 1(b)

3 potatoes: 3(c)

- Since the total cost is $14, we can write the second equation as follows:

Statement 3:

"4 tomatoes, 3 eggplants, 5 potatoes for $20"

- This implies that the farmer would price the packages as follows:

4 tomatoes: 4(a)

3 eggplants: 3(b)

5 potatoes: 5(c)

- Since the total cost is $20, we can write the third equation as follows:

Final Answer

The 3 equations are:

OPTION C

The angle formed outside the circle by the intersection of a tangent and a secant is equal to half of the difference of the intercepted arcs. The bigger arc is 180º, because the starting point of the secant and the starting point of the tangent are precisely on the opposite position of each other(we can see that by counting the same amount of seats between them on both sides). The smaller arc is equal to 90º, therefore

Answer:

it would be the same since reflection doesn't change the andle

Answer:

A: It would have the same measure as the original angle.

Step-by-step explanation:

Well, reflecting is where you take the original image, which you see now, and flipping it like a mirror image. So, I think the answer would be: A It would have the same measure as the original angle. Because, it is literally the same thing, just in a mirror image. Like, if you look in the mirror, you see yourself, still the same.

The linear function will be;

⇒ f (x) = 3.75

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are,

⇒ f (0) = 3.75

And, f (-6) = 3.75

Now,

Let the linear function is,

f (x) = ax + b

Since, The values is given as;

f (0) = 3.75

And, f (-6) = 3.75

So, We can substitute the given values in the linear function, we get;

f (x) = ax + b

Substitute x = 0 we get;

f (0) = a × 0 + b

f (0) = b

3.75 = b

b = 3.75

And, We can substitute x = -6 and f(0) = 3.75 we get;

f (-6) = a × -6 + b

3.75 = -6a + 3.75

- 6a = 0

a = 0

So, Substitute a = 0 and b = 3.75 in linear function we get;

f (x) = ax + b

f (x) = a × 0 + 3.75

f (x) = 3.75

Therefore,

The linear function will be;

⇒ f (x) = 3.75

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Start to see the possible options

The first digit will have 10 possible numbers to choose from 0 to 9, however in the second digit since it cannot repeat there will be only 9 possible to choose from. As for ther third number 0 is not an option meaning that there are 9 to choose as well.

Given Data:

The sale price of the jeans is: s=$30

The discount is: d=20%

The expression to calculate the original price is,

Here P represents the original price.

Thus, the original price of the jeans is $150.